Finding the Third Proportional to 123,048 and 184,688

Step by Step Solution

1. Step 1: Write the proportion equation
   123,048 : 184,688 = 184,688 : x
2. Step 2: Convert to fraction form
   123,048/184,688 = 184,688/x
3. Step 3: Cross multiply
   123,048x = 184,688 × 184,688
4. Step 4: Simplify right side
   123,048x = 34,109,657,344
5. Step 5: Solve for x
   x = 34,109,657,344/123,048
6. Step 6: Final answer
   x = 277,206.11